On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras
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We show that an outer action of a finite abelian group on a simple Cuntz-Krieger algebra is strongly approximately inner in the sense of Izumi if the action is given by diagonal quasi-free automorphisms and the associated matrix is aperiodic. This is achieved by an approximate cohomology vanishing-type argument for the canonical shift restricted to the relative commutant of the set of domain projections of the canonical generating isometries in the fixed point algebra
Originalsprog | Engelsk |
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Tidsskrift | Mathematica Scandinavica |
Vol/bind | 125 |
Udgave nummer | 1-2 |
Sider (fra-til) | 210-226 |
ISSN | 0025-5521 |
DOI | |
Status | Udgivet - 2019 |
Links
- https://arxiv.org/pdf/1708.08258.pdf
Accepteret manuskript
ID: 232977315